Which of the following expresses in product form?

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Which of the following expresses cos⁡α−cos⁡β\cos\alpha-\cos\beta in product form? (a) 2sin⁡α+β2cos⁡α−β22\sin\dfrac{\alpha+\beta}{2}\cos\dfrac{\alpha-\beta}{2} (b) −2sin⁡α+β2sin⁡α−β2-2\sin\dfrac{\alpha+\beta}{2}\sin\dfrac{\alpha-\beta}{2} (c) 2cos⁡α+β2cos⁡α−β22\cos\dfrac{\alpha+\beta}{2}\cos\dfrac{\alpha-\beta}{2} (d) 2sin⁡α+β2sin⁡α−β22\sin\dfrac{\alpha+\beta}{2}\sin\dfrac{\alpha-\beta}{2}

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